The equation of the line can be shown using the slope intercept form that is
y= mx+b
where m is the slope and b is the y intercept
So firstly we have to find the value of slope m
To find the value of slope m we apply the formula
So we can plug the values using the two given points
(-0.5,0.75) and (0.75,-0.5)
So m = -1
Plug m=-1 in the equation we get
y= -1x +b
Now we have to find the value of b
to find the value of b , we plug any one pint in the equation
0.75 = -1(-0.5) +b
0.75 = 0.5 +b
Subtract 0.5 from both sides
0.25 = b
or
b= 0.25
Now plug the value of b , in the equation
we get
y = -1x +0.25
hence the equation of the line is y = -1x +0.25
Answer:
72,220 inches per minute
Step-by-step explanation:
A car's wheels spins at 1000 revolutions per minute. The diameter of the wheels is 23 inches.
1 revolution = 
radians
Speed 
r is the radius , theta is the angle and t is the time
We know diameter = 23 , then radius = 23/2
Speed 
Value of pi = 3.14
speed = 23000* 3.14= 72220 inches/ minute
Answer: 55
Step-by-step explanation:
Answer:
Increasing on it's domain 
because the slope is positive.
The domain and range are both all real numbers, also known as
.
Step-by-step explanation:
All domain really means is what numbers can you plug in and you get number back from your function.
I should be able to plug in any number into 3x+2 and result in a number. There are no restrictions for x on 3x+2.
The domain is all real numbers.
In interval notation that is .
Now the range is the set of numbers that get hit by y=3x+2.
Well y=3x+2 is a linear function that is increasing. I know it is increasing because the slope is positive 3. I wrote out the positive part because that is the item you focus on in a linear equation to determine if is increasing or decreasing.
If slope is positive, then the line is increasing.
If slope is negative, then the line is decreasing.
So y=3x+2 hits all values of y because it is increasing forever. The range is all real numbers. In interval notation that is .
Answer:
Circumference = 10π
Step-by-step explanation:
First identify the circumference formula as such:
2πr (where r ⇒ radius, π ⇒ pi)
Knowing 2 times the radius (2r) in the formula can be rewritten as the diameter, the formula itself can be rewritten as:
πd (where d ⇒ diameter, π ⇒ pi)
If we know the diameter = 10 inches, substitute in the circumference formula πd to get:
π * 10 inches = 10 * π inches = 10π inches
